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Finding the Third Proportional to 125,638 and 273,423

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Solution

The third proportional to 125,638 and 273,423 is: 595,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,638 : 273,423 = 273,423 : x
  2. Step 2: Convert to fraction form
    125,638/273,423 = 273,423/x
  3. Step 3: Cross multiply
    125,638x = 273,423 × 273,423
  4. Step 4: Simplify right side
    125,638x = 74,760,136,929
  5. Step 5: Solve for x
    x = 74,760,136,929/125,638
  6. Step 6: Final answer
    x = 595,043.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.